The only TS breakfast at HS is Hollywood & Vine which is a character breakfast with Disney JR characters. If you have little ones in your party who are familiar with them, it might be a good fit.
The only QS breakfast at HS is the Starbucks location with a few sandwiches and lots of pastries and, of course, coffee.
Most of the EP resorts (a 15-20 min walk or boat ride away) have breakfast options. There is a new Bon Voyage breakfast at one of them (sorry, can never remember where), that is getting very good reviews.